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Simplifying 0.10x + 10 = 0.05x + 20 Reorder the terms: 10 + 0.10x = 0.05x + 20 Reorder the terms: 10 + 0.10x = 20 + 0.05x Solving 10 + 0.10x = 20 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. 10 + 0.10x + -0.05x = 20 + 0.05x + -0.05x Combine like terms: 0.10x + -0.05x = 0.05x 10 + 0.05x = 20 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 10 + 0.05x = 20 + 0.00 10 + 0.05x = 20 Add '-10' to each side of the equation. 10 + -10 + 0.05x = 20 + -10 Combine like terms: 10 + -10 = 0 0 + 0.05x = 20 + -10 0.05x = 20 + -10 Combine like terms: 20 + -10 = 10 0.05x = 10 Divide each side by '0.05'. x = 200 Simplifying x = 200
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